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Algebra 1 8-3 Complete Lesson: Multiplying Binomials

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Last updated almost 6 years ago
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Solve It! A park has rectangular dog run with length 30 ft and width 20 ft. The parks department wants to expand each end of each side of the dog run by the same amount x. What will be the total area of the expanded dog run?

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Problem 1 Got It?

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Problem 2 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 3 Got It?

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Problem 4 Got It?

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Problem 5 Got It? What is a simpler form of the expression?

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Reasoning: Explain how to use the FOIL method to find the product of two binomials.

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Compare and Contrast: Use the canvas below to, simplify (3x + 8)(x + 1) using a table, the Distributive Property, and the FOIL method.

Which method is the most efficient? Explain.

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Writing: How is the degree of a the product of two polynomials p(x) and q(x) related to the degrees of p(x) and q(x)?

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Review Lesson 8-2: Factor the polynomial.

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Review Lesson 8-2: Factor the polynomial.

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Review Lesson 8-2: Factor the polynomial.

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Review Lesson 7-3: Match each expression with its simplified form.

  • 9x²

  • 4x

  • 36x²

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Vocabulary Review: Categorize each expression on the left.

  • 7(-5)

  • a/3

  • 12(-1)

  • 8h

  • 10 + m

  • Shows a product

  • Does not show a product

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Vocabulary Review: Classify each value based on whether or not it shows the product of 12 and 4 or the product of 12 and x².

  • 3

  • 12x

  • 16

  • 12 + x

  • 12x²

  • 48

  • Product of 12 and 4

  • Product of 12 and x²

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Use Your Vocabulary: Match each word or phrase with its acronym.

  • identification

  • internet service provider

  • as soon as possible

  • personal identification number

  • for your information

  • automatied teller machine

  • PIN

  • ID

  • ATM

  • ASAP

  • ISP

  • FYI

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Notes: Take a clear picture or screenshot of your Cornell notes for this lesson. Upload it to the canvas. Zoom and pan as needed.

For a refresher on the Cornell note-taking system, click here.

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Reflection: Math Success